Do Now Add or subtract. 1. 2. 3. 4. Course 2 3-9 Adding and Subtracting Mixed Numbers 3 8 4 8 + 11 12 – 7 12 2 3 – 1 12 1 3 + 1 6 – 3 10 7 8 1 3 7 12 1 5 Hwk:p 32 odd
Do Now Add or subtract. 1. 2. 3. 4. Course 2 3-9 Adding and Subtracting Mixed Numbers 3838 4 8 + 11 12 – 7 12 2323 – 1 12 1313 + 1616 – 3 10 7878 1313.
Jan 02, 2016
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Do NowAdd or subtract.
1.
2.
3.
4.
Course 2
3-9 Adding and Subtracting Mixed Numbers
38 4 8+
1112
– 712
23
– 112
13
+ 16
– 310
78
137
1215
Hwk:p 32 odd
EQ: How do I add and subtract mixed numbers?
Course 2
3-9 Adding and Subtracting Mixed Numbers
M7N1.c Add, subtract, multiply, and divide positive and negative rational numbers; M7N1.d Solve problems using rational numbers
Additional Example 1: Measurement Application
Kevin is 48 inches tall. His brother Keith is 538
58
inches taller. How tall is Keith ?
4838
+5 58
= 53 88
+
= 53 + 1
54 inches tall.
A mixed number is the sum of an integer and a fraction: 3 = 3 + .
Helpful Hint
45
45
Course 2
3-9 Adding and Subtracting Mixed Numbers
Insert Lesson Title Here
Alvin weighs 72 lbs. His baby brother weighs 15 lbs. How much do they weigh together?
72 23
+ 15 13
=
87
33
Add the integers and add the fractions.
= Rewrite 33 as 1.
Together they weigh 88 pounds.
23
13
Course 2
3-9 Adding and Subtracting Mixed Numbers
72 + 15 =
23
+ 13
Add. Write the answer in simplest form.
9 23
+ 12 23
923
+1223
= 21 + 43
= 21 + 1 13
= 22 13
Course 2
3-9 Adding and Subtracting Mixed Numbers
Add. Write the answer in simplest form.
5 18
+ 3 56
= 8 + 2324
= 8 2324
Add the integers and add the fractions.
Add.
= 5 + 3 2024
3 24
Course 2
3-9 Adding and Subtracting Mixed Numbers
Add. Write the answer in simplest form.
Check It Out: Example 2A
7 45
+1025
7 45
+1025
= 17 + 65
= 17 + 1 15
Rewrite the improper fraction as a mixed number.
= 18 15
Course 2
3-9 Adding and Subtracting Mixed Numbers
Add.
Add. Write the answer in simplest form.
4 14
+ 4 38
414
+ 4 38
= 8 + 58
= 8 58
Add the integers and add the fractions.
Add.
= 4 + 4 38
2 8
Course 2
3-9 Adding and Subtracting Mixed Numbers
Sometimes when you subtract mixed numbers,the fraction portion of the first number is less thanthe fraction portion of the second number. In thesecases, you must regroup before subtracting.
REGROUPING MIXED NUMBERS
WORDS NUMBERS
187 = 6 + 1 + 1
888
= 6 + + 18
= 6 98
Rewrite 1 as a fraction with a common denominator.
Regroup.
Add.
Course 2
3-9 Adding and Subtracting Mixed Numbers
Remember!
Any fraction in which the numerator and denominator are the same is equal to 1.
Course 2
3-9 Adding and Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
Insert Lesson Title Here
4 23
– 2 13
423
– 213
= 2 + 13
= 213
Add.
Course 2
3-9 Adding and Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
Insert Lesson Title Here
12 89 – 8
23
1289
– 8 23
= 12 89
– 869
= 4 + 29
= 4 29
Subtract integers and subtract fractions.
Add.
Course 2
3-9 Adding and Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
17 18
– 12 38
17 18
– 12 =38
16 98
– 12 38
= 4 + 68
Regroup 17 18
= 16+ 88+ 1
8.
Subtract integers and subtract fractions.
= 468
= 4 34
Add and simplify.
Course 2
3-9 Adding and Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
Insert Lesson Title Here
345
– 2 15
345
– 215
= 1 + 35
Subtract integers and subtract fractions.
= 135
Add.
Course 2
3-9 Adding and Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
Insert Lesson Title Here
10 78
– 4 34
1078
– 4 34
= 10 78
– 468
Find a common denominator.
= 6 + 18
= 6 18
Subtract integers and subtract fractions.
Add.
Course 2
3-9 Adding and Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
14 14
– 10 34
14 14
– 10 =34
13 54
– 10 34
= 3 + 24
Regroup 14 14
= 13+ 44+ 1
4.
Subtract integers and subtract fractions.
= 324
= 3 12
Add and simplify.
Course 2
3-9 Adding and Subtracting Mixed Numbers
TOTDAdd or subtract. Write each answer in simplest form.
1. 5
2. 9
3. 7
4. 10
Insert Lesson Title Here
14
+516
23
+ 10 712
78
– 2 34
29
– 4 56
5. A single roll of wallpaper unrolls to 15 yards 12
you hang 13 yards from the roll. How much78
wallpaper remains?
105
12
2014
518
5 718
1 yards58
Course 2
3-9 Adding and Subtracting Mixed Numbers
Related Documents
